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Finding the Fourth Proportional to 9,488.60, 14,232.90 and 5,114.60

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Solution

The fourth proportional to 9,488.60, 14,232.90 and 5,114.60 is: 7,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.60 : 14,232.90 = 5,114.60 : x
  2. Step 2: Convert to fraction form
    9,488.60/14,232.90 = 5,114.60/x
  3. Step 3: Cross multiply
    9,488.60x = 14,232.90 × 5,114.60
  4. Step 4: Simplify right side
    9,488.60x = 72,795,590.34
  5. Step 5: Solve for x
    x = 72,795,590.34/9,488.60
  6. Step 6: Final answer
    x = 7,671.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.